Use the large holes on a box grater. Pile it into a clean kitchen towel or paper towels and squeeze out as much moisture as humanly possible. This step makes or breaks the burger texture.
In a large bowl, combine the ground beef, squeezed zucchini, breadcrumbs, egg, garlic, onion, Worcestershire, salt, pepper, smoked paprika, and herbs. Mix gently with your hands or a fork until just combined. Don't overwork it—overmixing = tough patties.
Shape into 4 equal patties, about 3/4-inch thick. Press a small indent in the center with your thumb so they cook evenly without puffing.
Heat a cast-iron skillet over medium-high or preheat the grill to medium-high. Add a thin slick of oil to the pan or brush the grill grates.
Place patties on the hot surface. Cook 3–4 minutes on the first side until nicely browned, then flip. Cook another 3–5 minutes to your preferred doneness. Add cheese in the last minute and cover to melt.
Lightly toast buns on the pan or grill for 30–60 seconds until golden. It's a small move with big payoff.
Stack your burgers with toppings and sauces. Pro tip: a swipe of mayo on the bottom bun helps prevent sogginess.
Let the patties sit for 2–3 minutes before biting in. Drippy, juicy chaos avoided. Kind of.